Non-integrability and Mach's principle in Induced Matter Theory
arXiv:gr-qc/0612090 · doi:10.1007/s10714-006-0391-1
Abstract
The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach's principal.
arXiv comment11 pages, to appear in Gen. Relativ. Gravit
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Cited by in corpus (7)
- Noncompactified Kaluza--Klein Gravity
- Quantum mechanics and geodesic deviation in the brane world
- Creation of neutral fundamental particles in the Weyl-Dirac version of Wesson's IMT
- Variation of mass in primordial nucleosynthesis as a test of Induced Matter Brane Gravity
- Probing extra dimensions through cosmological observations of dark energy
- Creation of fundamental particles in Wesson's IMT
- Intrinsic quantum dynamics of particles in brane gravity